The seminal 1989 work of Douglas and Paulsen on the theory of analytic Hilbert modules precipitated a number of major research efforts. This in turn led to some intriguing and valuable results, particularly in the areas of operator theory and functional analysis. With the field now beginning to blossom, the time has come to collect those results under one cover. Written by two of the most active and often-cited researchers in the field, Analytic Hilbert Modules reports on the progress made by the authors and others, including the characteristic space theory, rigidity, the equivalence problem, the Arveson modules, extension theory, and reproducing Hilbert spaces on n-dimensional complex space.
Rezensionen / Stimmen
...I would recommend this book to a researcher who is already familiar with this area and wants to get a good overview of what can be gained from Guo and Chen's methods. It is clear that their methods are valuable and can be used to extend and simplify many results in the area... - Mathematical Reviews
Reihe
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Illustrationen
50 s/w Abbildungen
50 Illustrations, black and white
Maße
Höhe: 240 mm
Breite: 161 mm
Dicke: 16 mm
Gewicht
ISBN-13
978-1-58488-399-9 (9781584883999)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
Chen, Xiaoman; Guo, Kunyu
Autor*in
Fudan University, Shanghai, China
Fudan University, Shanghai, China
1 Introduction2 Characteristic spaces and algebraic reduction 3 Rigidity for analytic Hilbert modules4 Equivalence of Hardy submodules 5 Reproducing function spaces on the complex n-space 6 The Arveson module 7 Extensions of Hilbert modules References Index